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Based on these results it is clear that the crosslinking system with low polymer concentration is different from normal polymer solution or gel dispersion, therefore, the crosslinking system is defined as a linked polymer solution.

因此，将此低浓度交联体系定义为交联聚合物溶液，以区别于一般聚合物溶液和凝胶分散体。

For the LS problem, the method of normal equations needs less computation but its computed solution has poor accuracy. If QR factorization is used, more accurate solution can be got. However, its computation is nearly as twice as the method of normal equations.

对于线性最小二乘问题，混合方法的提出是企图在法方程法与QR分解方法之间取得某种平衡，希望能够节省计算量又同时保持计算解达到较高精度，但后者在理论上并未得到证明。

A closed-form solution of these equations is not available. Therefore, numberical methods are used for their solution.

这些方程的精确解是不可能的，但是可以采用数值方法来计算。

Without the need of traditional numerical optimization method, solution for particular numerical problem can be obtained by substituting numerical values of each coefficient into the symbolic solution.

有效子问题是指子问题的最优解中至少有一个是原问题的最优解，多余子问题是指子问题的最优解中没有一个解是原问题的最优解。 3）求解方面：在国内外首次提出了求解最优解的符号表达式的思想。

The contents of this course include: the mathematical basis of FEM, the generic solution principles and expressions of elastic mechanics issue, the construction of element and its interpolation function, iso-parametric element and numerical integral, solution of linear equations, some practical issues of FEM modeling, brief introduction to typical commercial FEM packages, FEM for truss, plate blending and shell, and FEM for heat exchange and dynamics.

课程内容主要包括：有限单元法的数学基础、弹性力学问题有限单元法的一般原理和表达格式、单元和插值函数的构造、等参单元和数值积分、线性方程组解法、有限元建模的若干实际问题、典型商用有限元分析软件简介、杆件结构力学问题的有限单元法、平板弯曲问题的有限单元法、一般壳体问题的有限单元法、热传导问题的有限单元法、动力学问题的有限单元法等。

With combination of analytic solution and numerical solution,it is helpful ...

通过解析解及数值解结合的方法，可加深对传质扩散本质的理解。

Validity of this method would be proved by the comparison between the analytical solution and numerical solution.

通过解析解与数值求解的一致性验证了该方法的有效性。

With combination of analytic solution and numerical solution, it is helpful in understanding the essential of mass transfer diffusion.

通过解析解及数值解结合的方法，可加深对传质扩散本质的理解。

The molecular structures of these two complexes in aqueous solution are different from those in the crystalline state. ESR and electronic spectra show that the structures of these complexes are octahedron in aqueous solution.

这两个配合物在水溶液中的结构均与其晶体结构不同，ESR和电子吸收光谱的实验结果表明，这两个配合物在水溶液中都是八面体构型。

When used alone, nepetalactone attracted mosquitoes to the trap of the olfactometer, however, when mixed with human odor or a L-lactic acid dichloromethane solution, nepetalactone inhibited the attractiveness obviously. Nepetalactone exhibited a spatial repellency, but was not an ideal topical repellent. DEET did not have the attractiveness to mosquitoes, and did not exhibit inhibition on L-lactic acid dichloromethane solution too, hut enhanced the attractivity of human odor to mosquitoes.

风洞定向行为测试结果表明，假荆芥内酯单独作用时，对蚊虫有微弱的引诱效果，但在人体气味及二氯甲烷L-乳酸存在时，可显著抑制这些引诱物对蚊虫的引诱效果，是优良的空间驱避剂；DEET对蚊虫无明显的引诱作用，对二氯甲烷L-乳酸溶液引诱剂也无明显的抑制效果，但可显著增强人体气味对蚊虫的引诱性。

Putt your way through 36 fun-filled holes of minigolf on 3D designed courses with elevated greens, bunkers, bridges and water hazards, among other crazy obstacles.

您的推杆方式，通过36个有趣的填孔迷你的三维设计的课程，以提升绿党，掩体，桥梁和水的危害，除其他疯狂的障碍。

Some participles can be used either as attributes or as predicatives.

有些分词既可当定语用，也可当表语用。